I do not think [name_f]Mira[/name_f] [name_f]Mathilde[/name_f] is too hard on the tongue. As long as your last name is not M heavy. I am not entirely sure on pronunciation of [name_f]Mathilde[/name_f], but from what I understand the stress is on the second syllable and it rings nice in my ears.
I have to agree with @waverly123 that you will have a hard time finding a name that works in so many different tongues–I would focus on the places where your DD will be living, or spending a significant amount of her life. 
[name_f]Sonia[/name_f]/[name_f]Sonya[/name_f]/[name_f]Sonja[/name_f] sounds similar to [name_f]Enya[/name_f] to me. I think it sounds really great with [name_m]Liam[/name_m]!
Other suggestions:
[name_f]Emma[/name_f] [name_f]Mathilde[/name_f]
[name_f]Ella[/name_f] [name_f]Mathilde[/name_f]
[name_f]Stella[/name_f] [name_f]Mathilde[/name_f]
[name_u]Quinn[/name_u] [name_f]Mathilde[/name_f]
[name_f]Brynn[/name_f] [name_f]Mathilde[/name_f]
[name_f]Kate[/name_f] [name_f]Mathilde[/name_f]
[name_f]Cara[/name_f] [name_f]Mathilde[/name_f]
[name_f]Lana[/name_f] [name_f]Mathilde[/name_f]
[name_f]Hailey[/name_f] [name_f]Mathilde[/name_f]
[name_f]Joy[/name_f] [name_f]Mathilde[/name_f]
[name_f]Sonia[/name_f] [name_f]Mathilde[/name_f] gets my vote!
I like [name_f]Miya[/name_f] or [name_f]Niya[/name_f] (japanese sounds like [name_f]Mia[/name_f]/Nee-a)
And Caya (like [name_f]Maya[/name_f]) has been a long time favourite of mine…
But bf has vetoed all. So frustrating, as it has become standard for him not to express why he vetos apart from. “I just don’t like it. Isn’t that reason enough?” ><
These aren’t the best suggestions but right now that’s what I have (sorry for repeats):
[name_f]Zora[/name_f] (since it exists with a z and an s sound)
[name_f]Clara[/name_f]
[name_f]Alice[/name_f]
[name_f]Yara[/name_f]
[name_f]Cleo[/name_f]
[name_f]Elisa[/name_f]
[name_f]Nora[/name_f]
[name_f]Ida[/name_f]
[name_f]Rosa[/name_f]
[name_f]Nia[/name_f]
[name_f]Elle[/name_f] / [name_f]Ella[/name_f]
What other names does he like? It certainly isn’t right to just veto every name you suggest, maybe try to make him come up with a real choice for every name he vetoed.
I have no idea how it would flow with the various languages you’re surrounded by, but I’m acquainted with a young girl named [name_f]Xia[/name_f] (pronounced z’eye’-uh / 1st syllable rhyming with eye) which could also be spelled Ziya.
It seems like a half-way point between [name_f]Enya[/name_f] and [name_f]Ziva[/name_f]
I also really love [name_f]Zana[/name_f] and [name_f]Zala[/name_f], I think they’re so much more attractive than [name_f]Zoey[/name_f].
And I say, if he can veto yours without a reason you can veto his. Saying he’s “set on” something you don’t really like isn’t an argument.
[name_f]Ana[/name_f]
[name_f]Ada[/name_f]
[name_f]Adda[/name_f]
[name_f]Adah[/name_f]
[name_f]Aida[/name_f]
[name_f]Alma[/name_f]
[name_f]Asta[/name_f]
[name_f]Bette[/name_f]
Bia
[name_f]Bina[/name_f]
[name_u]Cary[/name_u]
[name_f]Calla[/name_f]
[name_f]Chloe[/name_f]
[name_f]Clara[/name_f]
[name_f]Cleo[/name_f]
[name_f]Coco[/name_f]
Clady
[name_u]Dana[/name_u]
[name_f]Debi[/name_f]
[name_f]Debra[/name_f]
[name_f]Dido[/name_f]
[name_f]Dina[/name_f]
[name_f]Dora[/name_f]
[name_u]Dory[/name_u]
[name_f]Ebba[/name_f]
[name_u]Eden[/name_u]
[name_f]Edna[/name_f]
[name_f]Ella[/name_f]
[name_f]Elsa[/name_f]
[name_f]Emma[/name_f]
[name_f]Faye[/name_f]
[name_f]Frida[/name_f]
[name_f]Greta[/name_f]
[name_f]Hana[/name_f]
[name_f]Ida[/name_f]
[name_f]Ilsa[/name_f]
[name_f]Inga[/name_f]
[name_f]Iris[/name_f]
[name_f]Juba[/name_f]
[name_u]Kari[/name_u]
[name_f]Karla[/name_f]
[name_f]Katy[/name_f]
[name_f]Leah[/name_f]
[name_f]Lily[/name_f]
[name_f]Lina[/name_f]/[name_f]Lena[/name_f]
[name_f]Lise[/name_f]
[name_f]Lola[/name_f]
[name_f]Lora[/name_f]/ [name_f]Lara[/name_f]
[name_f]Luda[/name_f]
[name_f]Luna[/name_f]
[name_f]Mara[/name_f]
[name_f]Maya[/name_f]/ [name_f]Maja[/name_f]
[name_f]Meta[/name_f]
[name_f]Mia[/name_f]
[name_f]Mina[/name_f]/[name_f]Mena[/name_f]
[name_f]Nola[/name_f]
[name_f]Nona[/name_f]
Rela
[name_u]Remy[/name_u]
[name_f]Rita[/name_f]
[name_f]Rosa[/name_f]
[name_f]Rose[/name_f]
[name_u]Rene[/name_u]
[name_u]Rory[/name_u]
[name_u]Ruby[/name_u]
[name_f]Sara[/name_f]
[name_f]Selma[/name_f]
[name_f]Signe[/name_f]/[name_f]Signa[/name_f]
[name_f]Sofi[/name_f]
Sosi
[name_f]Tara[/name_f]
[name_f]Tessa[/name_f]
[name_f]Tilly[/name_f]
[name_f]Tina[/name_f]
[name_f]Vera[/name_f]
[name_f]Willa[/name_f]
[name_f]Zaza[/name_f]
Hera
[name_f]Olga[/name_f]
[name_f]Opal[/name_f]
[name_f]Pia[/name_f]
[name_f]Petra[/name_f]
[name_f]Iola[/name_f]
[name_f]Iona[/name_f]
[name_f]Irene[/name_f]
[name_f]Iva[/name_f]
[name_f]Magda[/name_f]
[name_f]Mona[/name_f]
Ovia
[name_f]Orla[/name_f]
Runa
[name_f]Siri[/name_f]
[name_f]Suri[/name_f]
[name_f]Tyra[/name_f]
[name_f]Vita[/name_f]
[name_f]Veda[/name_f]
Agda
[name_f]Caja[/name_f]
[name_f]Cilla[/name_f]
[name_f]Nala[/name_f]
[name_f]Kira[/name_f]
[name_u]Darcy[/name_u]
[name_f]Fiona[/name_f]
[name_f]Grainne[/name_f]
[name_f]Kyla[/name_f]
Kyna (KEE-na)
[name_f]Maeve[/name_f]/[name_f]Maebh[/name_f]
[name_f]Lorna[/name_f]
[name_f]Oona[/name_f]
[name_u]Regan[/name_u]
[name_f]Bryna[/name_f]
[name_f]Emer[/name_f] (EE-mur… one of my favorites… an Irish name… look it up!)
[name_f]Treva[/name_f]
[name_f]Neve[/name_f]
[name_f]Scota[/name_f]
[name_f]Shona[/name_f]
Sive
[name_f]Erin[/name_f]
[name_u]Gale[/name_u]/[name_f]Gail[/name_f]/[name_u]Gael[/name_u]
[name_f]Juno[/name_f]
[name_f]Eira[/name_f]
[name_f]Eris[/name_f]
[name_f]Ines[/name_f]
[name_f]Jade[/name_f]
Leta
Leto
[name_f]Siri[/name_f]
[name_f]Tori[/name_f]
[name_u]Zola[/name_u]
I like [name_f]Luna[/name_f], but for a dog…
Kyna was a great suggestion too, only the pronunciation in mother tongue is the same as for [name_f]China[/name_f] (the country).
Ziya was clever, except that it’s a male name :-/
[name_f]Eira[/name_f] was brilliant! [name_f]Snow[/name_f] for a febuary baby 
Only, I like the Welsh pronunciation (ay-ra), but MT is likely to go for the Norse pronunciation (eye-ra) >< So I was thinking of Eyra, to ease pronunciation, but that changes the meaning to ear in all etymologies :-/ And that bothers me…
Am a little hesitant still on FN ending in -ra as LN starts with Fr-… With MN it’s not a problem, but without it, it gets a little gritty imo.
But, having sort of started over on google yet again, I came across [name_f]Riya[/name_f]. What do You think?
It is actually similarly pronounced in all of the ‘required’ languages, with just minor differences in where the R is vocalised (i.e. glottal, front or back), but it still sounds like an R however…
So apart from us having absolutely no relation to [name_f]India[/name_f], save thru [name_m]Britain[/name_m], it fulfills all of the requirements.
But is it too special? Less than 10 ppl have this name where we live :-/
Also like [name_f]Kiya[/name_f], but dunno how I feel about it not really meaning anything… And also, is ut too similar to [name_f]Kia[/name_f] (the car brand)?